Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344dp |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
571944355017728 = 210 · 73 · 11 · 236 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21253,306459] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:943:1] [215:2392:1] |
Generators of the group modulo torsion |
j |
1036823701504000/558539409197 |
j-invariant |
L |
7.7656483374175 |
L(r)(E,1)/r! |
Ω |
0.45193790410048 |
Real period |
R |
5.727666172789 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344bb3 28336r3 |
Quadratic twists by: -4 8 |